                    &\multicolumn{3}{c}{Prior Authorization Wave}&\multicolumn{1}{c}{}\\\cmidrule(lr){2-4}\cmidrule(lr){5-5}
                    &\multicolumn{1}{c}{Wave 1}&\multicolumn{1}{c}{Wave 2}&\multicolumn{1}{c}{Untreated}&\multicolumn{1}{c}{Overall}\\
\midrule
\textbf{Patient Characteristics}&            &            &            &            \\
\hspace*{0.5cm} Age (Years)&       64.23&       62.69&       62.77&       62.90\\
\hspace*{0.5cm} Months with ESRD&       53.34&       55.81&       53.03&       53.34\\
\hspace*{0.5cm} Black&       0.462&       0.635&       0.350&       0.389\\
\hspace*{0.5cm} Male&       0.556&       0.530&       0.543&       0.543\\
\hspace*{0.5cm} Diabetic&       0.504&       0.514&       0.541&       0.535\\
\hspace*{0.5cm} Drug User&       0.015&       0.019&       0.013&       0.014\\
\hspace*{0.5cm} Smoker&       0.065&       0.074&       0.062&       0.063\\
\hspace*{0.5cm} Drinker&       0.016&       0.015&       0.013&       0.014\\
\hspace*{0.5cm} Uninsured at Incidence&       0.103&       0.120&       0.128&       0.125\\
\hspace*{0.5cm} Employed at Incidence&       0.160&       0.171&       0.158&       0.160\\
\textbf{Ridership}  &            &            &            &            \\
\hspace*{0.5cm} Non-Emergency Dialysis Rides&        3.12&        0.91&        0.77&        1.01\\
\hspace*{0.5cm} Emergency Rides&       0.127&       0.124&       0.124&       0.124\\
\hspace*{0.5cm} Total Lifetime Rides&       152.7&        50.0&        46.2&        56.6\\
\hspace*{0.5cm} Continuing to Ride Next Month&       0.890&       0.851&       0.835&       0.852\\
\textbf{Facility Characteristics}&            &            &            &            \\
\hspace*{0.5cm} Facility Age (Years)&       15.97&       17.47&       16.01&       16.16\\
\hspace*{0.5cm} Freestanding Facility&       0.948&       0.964&       0.952&       0.953\\
\hspace*{0.5cm} \textit{Chain Affiliation}&            &            &            &            \\
\hspace*{1cm} DaVita&       0.274&       0.372&       0.339&       0.336\\
\hspace*{1cm} Fresenius&       0.417&       0.443&       0.348&       0.364\\
\hspace*{1cm} Other Chain&       0.167&       0.067&       0.137&       0.133\\
\hspace*{1cm} Independent&       0.142&       0.118&       0.176&       0.167\\
\textbf{Health Outcomes}&            &            &            &            \\
\hspace*{0.5cm} Dialysis Sessions&       12.12&       12.12&       12.13&       12.12\\
\hspace*{0.5cm} All-Cause Hosp.&       0.134&       0.126&       0.125&       0.126\\
\hspace*{0.5cm} Fluid Hosp.&       0.017&       0.016&       0.014&       0.015\\
\hspace*{0.5cm} Mortality&       0.011&       0.010&       0.010&       0.010\\
\midrule
Patient-Months      &   1,002,102&   1,081,465&   8,564,126&  10,647,693\\
